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The pentagram map and Y-patterns

Abstract : The pentagram map, introduced by R. Schwartz, is defined by the following construction: given a polygon as input, draw all of its ``shortest'' diagonals, and output the smaller polygon which they cut out. We employ the machinery of cluster algebras to obtain explicit formulas for the iterates of the pentagram map.
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Max Glick. The pentagram map and Y-patterns. 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.399-410, ⟨10.46298/dmtcs.2920⟩. ⟨hal-01215101⟩

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